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Volumn 16, Issue 3, 1999, Pages 431-441

Asymptotic Stability of the Rarefaction Wave of a One-Dimensional Model System for Compressible Viscous Gas with Boundary

Author keywords

Asymptotic behavior; Boundary; Compressible viscous gas; Rarefaction wave

Indexed keywords


EID: 0012657637     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167367     Document Type: Article
Times cited : (15)

References (17)
  • 1
    • 0002421855 scopus 로고
    • A note on the stability of rarefaction wave of Burgers equation
    • Y. Hattori and K. Nishihara, A note on the stability of rarefaction wave of Burgers equation. Japan J. Indust. Appl. Math., 8 (1991), 85-96.
    • (1991) Japan J. Indust. Appl. Math. , vol.8 , pp. 85-96
    • Hattori, Y.1    Nishihara, K.2
  • 2
    • 0000369401 scopus 로고
    • Asymptotic behavior of the solution of the Cauchy problem for certain quasilinear equations for large time (Russian)
    • A.M. Ilin and O.A. Oleinik, Asymptotic behavior of the solution of the Cauchy problem for certain quasilinear equations for large time (Russian). Mat. Sb., 51 (1960), 191-216.
    • (1960) Mat. Sb. , vol.51 , pp. 191-216
    • Ilin, A.M.1    Oleinik, O.A.2
  • 3
    • 0000416467 scopus 로고
    • On a model system of equations of one-dimensional gas motion (Russian)
    • Ya. I. Kanel', On a model system of equations of one-dimensional gas motion (Russian). Differencial'nye Uravnenija, 4 (1968), 374-380.
    • (1968) Differencial'nye Uravnenija , vol.4 , pp. 374-380
    • Kanel', Ya.I.1
  • 4
    • 34250115323 scopus 로고
    • Asymptotic stability of travelling wave solutions of systems for one-dimensional gas motion
    • S. Kawashima and A. Matsumura, Asymptotic stability of travelling wave solutions of systems for one-dimensional gas motion. Comm. Math. Phys., 101 (1985), 97-127.
    • (1985) Comm. Math. Phys. , vol.101 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 5
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • P.D. Lax, Hyperbolic systems of conservation laws II. Comm. Pure. Appl. Math., 10 (1957), 537-566.
    • (1957) Comm. Pure. Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.D.1
  • 6
    • 0001192857 scopus 로고
    • Nonlinear stability of shock waves for viscous conservation laws
    • T.P. Liu, Nonlinear stability of shock waves for viscous conservation laws. Memoirs AMS, 328 (1985), 1-108.
    • (1985) Memoirs AMS , vol.328 , pp. 1-108
    • Liu, T.P.1
  • 7
    • 0032395447 scopus 로고    scopus 로고
    • Behavior of solutions for the Burgers equations with boundary corresponding to rarefaction waves
    • T.-P. Liu, A. Matsumura and K. Nishihara, Behavior of solutions for the Burgers equations with boundary corresponding to rarefaction waves. SIAM J. Math. Anal., 29(2) (1998), 293-308.
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.2 , pp. 293-308
    • Liu, T.-P.1    Matsumura, A.2    Nishihara, K.3
  • 8
    • 0031579044 scopus 로고    scopus 로고
    • Asymptotic behavior for scalar viscous conservation laws with boundary effect
    • T.P. Liu and K. Nishihara, Asymptotic behavior for scalar viscous conservation laws with boundary effect. J. Differential Equations, 133 (1997), 296-320.
    • (1997) J. Differential Equations , vol.133 , pp. 296-320
    • Liu, T.P.1    Nishihara, K.2
  • 9
    • 0031505790 scopus 로고    scopus 로고
    • Propagation of a stationary shock layer in the presence of a boundary
    • T.-P. Liu and S.-H. Yu, Propagation of a stationary shock layer in the presence of a boundary. Arch. Rat. Mech. Anal., 139 (1997), 57-82.
    • (1997) Arch. Rat. Mech. Anal. , vol.139 , pp. 57-82
    • Liu, T.-P.1    Yu, S.-H.2
  • 10
    • 0009171042 scopus 로고    scopus 로고
    • Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary
    • A. Matsumura and M. Mei, Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary. Arch. Rat. Mech. Anal., 146 (1999), 1-22.
    • (1999) Arch. Rat. Mech. Anal. , vol.146 , pp. 1-22
    • Matsumura, A.1    Mei, M.2
  • 11
    • 0002321065 scopus 로고
    • The initial value problem for the equations of motion of viscous and heat-conductive gases
    • A. Matsumura and T. Nishida, The initial value problem for the equations of motion of viscous and heat-conductive gases. J. Math. Kyoto Univ., 20 (1980), 67-104.
    • (1980) J. Math. Kyoto Univ. , vol.20 , pp. 67-104
    • Matsumura, A.1    Nishida, T.2
  • 12
    • 0001923997 scopus 로고
    • On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara, On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math., 2 (1985), 17-25.
    • (1985) Japan J. Appl. Math. , vol.2 , pp. 17-25
    • Matsumura, A.1    Nishihara, K.2
  • 13
    • 0001790393 scopus 로고
    • Asymptotic toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara, Asymptotic toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math., 3 (1986), 1-13.
    • (1986) Japan J. Appl. Math. , vol.3 , pp. 1-13
    • Matsumura, A.1    Nishihara, K.2
  • 14
    • 34249841641 scopus 로고
    • Global stability of the rarefaction wave of the solutions of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara, Global stability of the rarefaction wave of the solutions of a one-dimensional model system for compressible viscous gas. Comm. Math. Phys., 144 (1992), 325-335.
    • (1992) Comm. Math. Phys. , vol.144 , pp. 325-335
    • Matsumura, A.1    Nishihara, K.2
  • 15
    • 21844512198 scopus 로고
    • Asymptotic stability of the traveling waves for scalar viscous conservation laws with non-convex nonlinearity
    • A. Matsumura and K. Nishihara, Asymptotic stability of the traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Comm. Math. Phys., 165 (1994), 83-96.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 83-96
    • Matsumura, A.1    Nishihara, K.2
  • 16
    • 0010564672 scopus 로고
    • A note on the stability of traveling wave solution of Burgers' equation
    • K. Nishihara, A note on the stability of traveling wave solution of Burgers' equation. Japan J. Appl. Math., 2 (1985), 27-35.
    • (1985) Japan J. Appl. Math. , vol.2 , pp. 27-35
    • Nishihara, K.1
  • 17
    • 84956075978 scopus 로고
    • On the Cauchy problem for composite systems of nonlinear differential equations
    • A.I. Vol'pert and S.I. Hujaev, On the Cauchy problem for composite systems of nonlinear differential equations. Math. USSR-SB., 16 (1972), 517-544.
    • (1972) Math. USSR-SB. , vol.16 , pp. 517-544
    • Vol'pert, A.I.1    Hujaev, S.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.